Question

the curve shown below has parametric equations : x = t2 - 2t +2, y =...

the curve shown below has parametric equations : x = t2 - 2t +2, y = t3 - 4t (- infinity <t < infinity).

find the value of t which gives point (10,0) on the curve, and determine the slope of the curve at this point.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the parametric curve x = t2, y = t3 + 3t, −∞ < t <...
Consider the parametric curve x = t2, y = t3 + 3t, −∞ < t < ∞. (a) Find all of the points where the tangent line is vertical. (b) Find d2y/dx2 at the point (1, 4). (c) Set up an integral for the area under the curve from t = −2 to t = −1. (d) Set up an integral for the length of the curve from t=−1 to t=1.
Find parametric equations for the tangent line to the curve with the given parametric equations at...
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 6 cos(t), y = 6 sin(t), z = 10 cos(2t); (3 3 , 3, 5) x(t), y(t), z(t) = ??
Given parametric equations below, find d^2y/dx^2 and determine the intervals on which the graph of the...
Given parametric equations below, find d^2y/dx^2 and determine the intervals on which the graph of the curve is concave up or concave down. (a) x = t^2 , y = t^3−3t (b) x = cos(t), y = sin(2t)
Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find...
Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find the values for t where the tangent lines are horizontal on the parametric curve. For the horizontal tangent lines, you do not need to find the (x,y) pairs for these values of t. Find the values for t where the tangent lines are vertical on the parametric curve. For these values of t find the coordinates of the points on the parametric curve.
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y =...
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y = g(θ) for this curve. b) Find the slope of the line tangent to this curve when θ=π. 6) a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the...
Find the equation of the line tangent to the parametric curve x = t2 − 2t3...
Find the equation of the line tangent to the parametric curve x = t2 − 2t3 y = t2 when t = 2.
Consider the parametric curve given by the equations: x = tsin(t) and y = t cos(t)...
Consider the parametric curve given by the equations: x = tsin(t) and y = t cos(t) for 0 ≤ t ≤ 1 (a) Find the slope of a tangent line to this curve when t = 1. (b) Find the arclength of this curve
two part question: a) graph the parametric equation x=t2-t , y=t2+t+1 only on the interval -1<t<2...
two part question: a) graph the parametric equation x=t2-t , y=t2+t+1 only on the interval -1<t<2 b) find an equation of the tangent line to the curve at the point (0,3)
Consider two particles moving in the xyxy-plane according to parametric equations. At time tt, the position...
Consider two particles moving in the xyxy-plane according to parametric equations. At time tt, the position of particle A is given by x(t) = 2t-3, y(t) = t^2-3t-5x Let kk be some real number. At time tt, the position of particle B is given by x(t) = 4t+3, y(t) = 2t+k^2x Think about the curve traced out by the movement of particle A. Find the equation of the tangent line to the curve at t=4t=4. Give your answer in slope-intercept...
On the parametric curve (x(t), y(t)) = (t − t^2 , t^2 + 3t) pictured below,...
On the parametric curve (x(t), y(t)) = (t − t^2 , t^2 + 3t) pictured below, determine the (x, y)-coordinates of the marked point where the tangent line is horizontal.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT